Answer: C) 127, 152.4, 182.88, 219.456,...
Step-by-step explanation:
You can only find the sum of an infinite geometric sequence if it converges.
One criterion to see if the series converges is if:
aₙ < aₙ₋₁
This means that, as n increases, the value of the terms decreases.
This means that as n tends to infinity, aₙ tends to zero.
Then we only can find the sum of those series where the terms are decreasing.
in A, B and D the terms are decreasing, then we can find the sum of those 3 series.
Now in the case of C, the terms are increasing, then we can not find the sum of that series.
Write the equation of a line with the slope -3 and y-intercept of 5
O y = 5x + 3
O y = -5x + 3
O y = 5x - 3
O y = -3x + 5
Answer:
[tex]\fbox{y = -3x + 5}[/tex]
Step-by-step explanation:
You are given the slope and the y-intercept of the line; so you can substitute these values into slope-intercept form: [tex]y=mx+b[/tex];
where [tex]m= \ $slope = -3[/tex]and [tex]y-$int = 5[/tex]Plugging these values into slope-intercept form gives:
[tex]y=(-3)x+(5)[/tex][tex]y=-3x+5[/tex]Another way to find the slope-intercept form of a line given the slope and a point:We are given the slope and a point that the line passes through, so we can use the point-slope equation to find the slope-intercept form of the line.
The point that the line passes through is the y-intercept: [tex](0,5)[/tex].
Point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]where [tex](x_1, \ y_1)[/tex] are the coordinates of the point that the line passes through and [tex]m= $ slope of the line.[/tex]
Substitute [tex]m=-3[/tex] and [tex](0,5)[/tex] into the point-slope form equation.
[tex]y-(5)=-3(x-(0))[/tex]Simplify the equation on both sides.
[tex]y-5=-3(x)[/tex]Add 5 to both sides of the equation.
[tex]y=-3x+5[/tex]This is in slope-intercept form: [tex]y=mx+b[/tex], so we are done.
The answer is [tex]D) \ $y = -3x+5[/tex].
Does the equation y=-2x-3 represent a linear function
Answer:
For example, the linear equation 3y + 2x = 6 has an x intercept when y = 0, so 3(0) + 2x = 6. The x-intercept is (3, 0). Likewise the y-intercept occurs when x = 0. The y-intercept is (0, 2).
...
Graph the linear equation y + 3x = 5.
x values 5 – 3x
Step-by-step explanation:
hope this helps
Carol invested $2,560 into two accounts. One account paid 6% interest and the other paid 8% interest. She earned 7.25% interest on the total investment in one year. How much money did she put in each account? Use the general formula, I=Prt, to model simple interest applications, where I is equal to the interest, P is equal to the product of the principal, r is equal to the rate, and t is equal to the time.
Answer:
The amount she put in the account that paid 6% interest = x = $960
The amount she put in the account that paid 8% interest = y = $1600
Step-by-step explanation:
Carol invested $2,560 into two accounts. One account paid 6% interest and the other paid 8% interest. She earned 7.25% interest on the total investment in one year.
I=Prt, to model simple interest applications, where I is equal to the interest, P is equal to the product of the principal, r is equal to the rate, and t is equal to the time.
Step 1
We have to calculate the total interest earn on the initial capital
P = $2,560
R = 7.25% = 0.0725
T = 1
I = $2,560 × 0.0725 × 1
I = $185.60
Let the amount Invested in the account that paid 6% interest = x
Let the amount Invested in the account that paid 8% interest = y
Hence:
$185.60 = x × 6% + y × 8%
$185.60 = 0.06x + 0.08y......Equation 1
$2560 = x + y........ Equation.2
x = $2560 - y
$185.60 = 0.06x + 0.08y......Equation 1
185.60 = 0.06(2560 - y) + 0.08y
185.60 = 153.6 - 0.06y + 0.08y
185.60 - 153.60 = 0.02y
y = 32/0.02
y = $1600
x = $2560 - y
x = $2560 - $1600
x = $960
The amount she put in the account that paid 6% interest = x = $960
The amount she put in the account that paid 8% interest = y = $1600
Megan scored 80% on a test. She got 20 questions correct. How many questions were on the test?
Answer:
25
Step-by-step explanation:
I'm writing this to get to the 20 character minimum
Answer:
26 Questions
Step-by-step explanation:
One positive number is one-fifth of another number. The difference between the two numbers is 328, find
the numbers.
Answer:
The numbers are 410 , 82
Step-by-step explanation:
Let the another number be x
Positive number = [tex]\frac{1}{5}x[/tex]
Their difference = 328
[tex]x - \frac{1}{5}x=328\\\\\frac{x*5}{1*5}-\frac{1}{5}x=328\\\\\frac{5x-x}{5}=328\\\\\frac{4x}{5}=328\\\\x=328*\frac{5}{4}\\\\x=82*5\\[/tex]
x = 410
Positive number = [tex]\frac{1}{5}*410=82[/tex]
The numbers are 410 , 82
Find the perimeter or circumference and area of each figure if each unit on the graph measures
1 centimeter. Round answers to the nearest tenth, if necessary.
Answer:
Circumference of the circle = 17.8 units
Area of the circle = 25.1 square unit
Step-by-step explanation:
Formula to get the circumference of a circle = 2πr
Where r = radius of the circle
Radius of the given circle = Distance between the points A(2, 3) and B(4, 1)
r = [tex]\sqrt{(2-4)^2+(3-1)^2}[/tex]
r = [tex]2\sqrt{2}[/tex] units
Therefore, circumference = 2π(2√2)
= 17.77
≈ 17.8 units
Area of the circle = πr²
= π(2√2)²
= 8π
= 25.13
≈ 25.1 square unit
Write 9.84 as a mixed number in simplest form
Answer:
[tex]9\frac{21}{25}[/tex]
Step-by-step explanation:
Simplify the 0.84. It is 84/100, or divided by 4, it is 21/25.
Hope this helped! :))
Answer:
Step-by-step explanation:
Mixed numbers are a whole number and a fraction together
sooo 9.84= 9 84/100 but we can reduce 84 /100 to 42/50 and that can be reduced to 21/25
so write 9 21/25
A camp counselor has a list of 134 campers who signed up for art class. The counselor can place 8 students in each class. How many classes does the counselor need to have?
Answer:
17
Step-by-step explanation:
the answer would have been 16.75 but you cant divide a class, so you round up.
14+14 plaxdivu nfnvhwijqco n uhfen uew9 nfh nf hfn feuh
Answer:
28?
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
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..................................................................................................dotty gangz .............................................................................
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a group of hikers begin in an elevation of -29 feet below sea level. they travel up a mountain side until they were on an elevation of 245 feet abos sea level. what was the total change in elevation for the hikers?
Answer:
-28
Step-by-step explanation:
the question is in the photo
Answer:
yes
Step-by-step explanation:
half of x which is 4 = y which is 2
you keep doing that with the rest of the xs and ys
what is the image of(8,12) after a dilation by a scale factor of 1/4 centered at the origin?
The image of 8,12 after dilation by a scale factor of 1/4 will be 2,3.
What is dilation?Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased. The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.
Given that the image of (8,12) after dilation by a scale factor of 1/4 centered at the origin.
The image of the dilated point will be:-
x : - 8 ⇒ 8 / 4 = 2
y : - 12 ⇒ 12 / 4 = 3
Therefore, the image of 8,12 after dilation by a scale factor of 1/4 will be 2,3.
To know more about dilation follow
https://brainly.com/question/3457976
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Scott High School is holding a fundraiser and plans to use 1/2 of the money collected to build a new library. Of the money directed towards building the new library, 5/8 will go towards purchasing computers. What fraction of the money raised will go towards purchasing computers for the library?
Answer:
[tex]Computer = \frac{5}{16}[/tex]
Step-by-step explanation:
Given
[tex]Library = \frac{1}{2}[/tex]
[tex]Computers = \frac{5}{8}[/tex] of library.
Required
Determine the fraction going towards computer purchase.
We have:
[tex]Computers = \frac{5}{8}[/tex] of library.
This can be rewritten as:
[tex]Computers = \frac{5}{8}[/tex] * library.
Substitute [tex]Library = \frac{1}{2}[/tex]
So, we have:
[tex]Computer = \frac{5}{8} * \frac{1}{2}[/tex]
[tex]Computer = \frac{5}{16}[/tex]
Hence:
The fraction is [tex]\frac{5}{16}[/tex]
Drag numbers to complete the table for missing values of x, x2, and x3.
Answer:
Values are:
x x²
10 100
5
a shape is shown on the graph
Which of the following is a reflection of the shape
Answer:
one reflection would be (-2, -2) (-2,-4) and (-6, -2)
Step-by-step explanation:
Hope this helps
The lines represented by the equations y = -X – 3 and
5y + 5x = -15
Answer:
your y= is
y−intercept=− 1 /3 =−3.00000
Step-by-step explanation:
Two thirds of 148 seventh
graders buy their lunch at
school. How many students
is this?
Answer:
if you round, its 99. if you ignore the decimal, its 98
Step-by-step explanation:
2/3 of 148 is 98.66
12=6x+3y solve for y
Answer:
1 1/3 = y
Step-by-step explanation:
12 = 6x + 3y
12 = 9y
12/9 = y
1 1/3 = y
Hope this helped!
Help me please now...
Answer:
see below
Step-by-step explanation:
sqrt(24) = sqrt( 4*6)
sqrt( 4) sqrt(6)
2 sqrt(6)
Convert to meters: 22 km
Answer:
22000 meters
Step-by-step explanation:
Step-by-step explanation:
1km = 1000m
22km×1000
22000
Determine the percentage of increase/decrease of the following exponential equation.
y = 4(1.75)x
[-4.5 + 12] = what is the anserw
Answer:7.5
Step-by-step explanation:
Answer:
The answer will be 8.5
· Yolanda deposited $3,547 into an account that earns 4.5%
simple annual interest. Calculate the interest Yolanda will earn
after 6 years. How much will Yolanda have in her account after 6
years?
Answer:
$4,504.69
Step-by-step explanation:
Enter the slope-intercept equation of the line that has -2 and y-intercept (0,7)
solve the inequality 809>-11+5/8n write the solution in set notation
Answer:
-798>n
Step-by-step explanation:
emilythompson35464
hope this helps srry if it doesn't tho
Answer:
1312
Step-by-step explanation:
i just did it and got it right
Hi! I've been stuck on this for awhile although it seems so easy I can't get by it :/
Answer:
x > -17/6 or x < -1/2
Step-by-step explanation:
4 |3x + 5| + 20 > 6
4 |3x + 5| > -14
|3x + 5| > -14/4
This is where the two equations split.
+:
3x + 5 > -14/4
3x > -17/4
x > -17/6
-:
- (3x + 5) > -14/4
3x + 5 < 14/4
3x < -3/2
x < -1/2
Supposedly these are your answers, but if I'm incorrect, please let me know. I don't see an option for you on that picture though.
20 POINTS and BRAINLEST
Find the sum. Include all calculations in your answer.
-4 5/8 + 2 1/8
Answer:
-2.5
Step-by-step explanation:
-4 5/8 = -4.625
2 1/8 = 2.125
-4.625 + 2.125 = -2.5
Answer:
-20/8 or -2 1/2
Step-by-step explanation:
-4 5/8 + 2 1/8
Convert mixed numbers into improper fractions
-37/8 + 17/8
Add the numerators but NOT the denominators
Final Answer: -20/8 or -2 1/2
can i get brainiest
Level 5a: The marching band is selling hats for $7 and t-shirts for $15. The band’s fundraising goal is $600. The equation to represent the situation is 7x + 15y = 600. Find the x and y intercept and clearly identify which is which. Round to the nearest tenth.
Answer:
7
x
+
15
y
=
600
Find the x-intercepts.
Tap for more steps...
x-intercept(s): (6007,0)
Find the y-intercepts.
Tap for more steps...
y-intercept(s): (0,40)
List the intersections.
x-intercept(s): (6007,0)
y-intercept(s): (0,40)
Step-by-step explanation:
A jacket costs $34.85 plus sales tax. After sales tax, the jacket costs $37.29.
What is the approximate sales tax rate?
Answer:
the approximately sales tax rate is 7%
which angle pairs are congruent? Select all that apply
Answer:
Step-by-step explanation:
The first and last one